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arXiv:1503.07479 [math.AP]AbstractReferencesReviewsResources

Ground states of elliptic problems involving non homogeneous operators

Giovany Figueiredo, Humberto Ramos Quoirin

Published 2015-03-25Version 1

We investigate the existence of ground states for functionals with nonhomogenous principal part. Roughly speaking, we show that the Nehari manifold method requires no homogeinity on the principal part of a functional. This result is motivated by some elliptic problems involving nonhomogeneous operators. As an application, we prove the existence of a ground state and infinitely many solutions for three classes of boundary value problems.

Comments: 14 pages
Categories: math.AP
Subjects: 35J20, 35J25, 35J60, 35J92
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